105428520 has 256 divisors, whose sum is σ = 376012800. Its totient is φ = 26231040.

The previous prime is 105428513. The next prime is 105428569. The reversal of 105428520 is 25824501.

It is a happy number.

It is a super-2 number, since 2×105428520² = 22230345658780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1573527 + ... + 1573593.

It is an arithmetic number, because the mean of its divisors is an integer number (1468800).

Almost surely, 2^105428520 is an apocalyptic number.

105428520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105428520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188006400).

105428520 is an abundant number, since it is smaller than the sum of its proper divisors (270584280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105428520 is a wasteful number, since it uses less digits than its factorization.

105428520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105428520 is about 10267.8391105432. The cubic root of 105428520 is about 472.4103130352.

The spelling of 105428520 in words is "one hundred five million, four hundred twenty-eight thousand, five hundred twenty".